signature stringlengths 16 32 | problem_type stringclasses 12
values | optimization_type stringclasses 3
values | graph stringlengths 52 2.28k | solution stringlengths 235 4.05k | cost_hamiltonian stringlengths 11 5.66k | ansatz_id int64 1 18 | number_of_qubits int64 1 16 | number_of_layers int64 1 4 | exact_solution stringlengths 128 2.57k | circuit_with_params stringlengths 106 17.5k | circuit_with_symbols stringlengths 146 19.5k ⌀ | problem_specific_attributes stringclasses 116
values | adaptive_process stringlengths 33 186k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
6a865e73d4e6861d0009457718f7c0e7 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [99, 98], "expectation_value": -5.652007077661494, "params": [[[0.8679, 0.0032], [2.4003, 0.0043], [-0.0019, -0.0033], [0.0023, -0.0018000000000000002], [0.0036000000000000003, -0.0036000000000000003], [1.0027000000000001, 0.8484], [2.2739000000000003, -0.9642000000000001]]], "bitstrings": ["0011100", "00111... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * Z(2) ... | 15 | 7 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["0011101", "0011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.8679) q[0];
ry(2.4003) q[1];
ry(-0.0019) q[2];
ry(0.0023) q[3];
ry(0.0036) q[4];
ry(1.0027) q[5];
ry(2.2739) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0.0032) q[0];
ry(0.0043) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
c4451fd603527c531475e6481aa4ec9b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 6}, {"sour... | {"states": [106, 234], "expectation_value": -3.5115314033501006, "params": [0.0007, 0.0038, 1.5893000000000002, 0.0063, 1.6133000000000002, 0.0037, 1.6137000000000001, 0.0071, 0.1226, 0.0058000000000000005, 1.6131, 0.001, 0.3794, 0.006500000000000001, 1.6126, 0.0088, 0.3745, 0.009600000000000001, 0.0081, 0.008700000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(6) + -1.0 * Z(8) + -0.5 * Z... | 3 | 9 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0007) q[0];
rz(0.0038) q[0];
rx(1.5893) q[1];
rz(0.0063) q[1];
rx(1.6133) q[2];
rz(0.0037) q[2];
rx(1.6137) q[3];
rz(0.0071) q[3];
rx(0.1226) q[4];
rz(0.0058) q[4];
rx(1.6131) q[5];
rz(0.001) q[5];
rx(0.3794) q[6];
rz(0.0065) q[6];
rx(1.6126) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5ab0d413e91c40c8571cb2ab0e0009e7 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 8}, {"source": ... | {"states": [0, 832], "expectation_value": -20.586353346897326, "params": [0.31970000000000004, -0.21630000000000002, 0.3154, -0.3795, -0.3675, 0.6073000000000001, -0.3325, 0.6502, 0.0006000000000000001, 0.6217, 0.0013000000000000002, 0.7230000000000001, -0.3687, 0.012700000000000001, -0.36810000000000004, 0.6085, 0.015... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -3.0 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + -3.0 * (Z(2) @ Z(9)) + -2.5 ... | 6 | 10 | 3 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["0010111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.3197) q[0];
rz(-0.2163) q[0];
rx(-0.3675) q[1];
rz(0.6073) q[1];
rx(0.0006) q[2];
rz(0.6217) q[2];
rx(-0.3687) q[3];
rz(0.0127) q[3];
rx(0.0153) q[4];
rz(0.6735) q[4];
rx(-0.0002) q[5];
rz(0.8188) q[5];
rx(0.0019) q[6];
rz(0.6521) q[6];
rx(-0.0005) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 5} | {"circuits": [], "gradients": []} |
8f21ecaec272429f1bdc72f298b44a30 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "so... | {"states": [30, 15], "expectation_value": -3.721322339349961, "params": [[0.0704, 0.066, 0.07, 0.0772], [-0.07970000000000001, -0.0695, -0.0698, -0.08020000000000001]], "bitstrings": ["00001", "10000"], "total_optimization_steps": 10, "probabilities": [0.09867973897256, 0.10843653565523538], "optimization_time": 3.6848... | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + 1.75 * (Z(4) @ Z(0)) + -1.75 * (Z(4) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.0 * Z(4) + -0.25 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0352) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.2112) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.176) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.2464) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(-0.2464) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
5d474162f07dfb1b3248afb7c4b90a85 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, ... | {"states": [1, 3], "expectation_value": -23.606582687309192, "params": [[[0.1447, -0.3316], [0.5706, 0.0018000000000000002], [0.2169, -0.27890000000000004], [0.2621, 0.21080000000000002], [0.1773, -0.324], [0.7913, 0.0025], [0.7993, -0.0044]], [[0.1495, 0.007500000000000001], [0.5710000000000001, 0.0008], [0.2172, 0.00... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 2.75 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 1 | 7 | 2 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.1447) q[0];
rz(-0.3316) q[0];
rx(0.5706) q[1];
rz(0.0018) q[1];
rx(0.2169) q[2];
rz(-0.2789) q[2];
rx(0.2621) q[3];
rz(0.2108) q[3];
rx(0.1773) q[4];
rz(-0.324) q[4];
rx(0.7913) q[5];
rz(0.0025) q[5];
rx(0.7993) q[6];
rz(-0.0044) q[6];
rx(0.1495) q[0];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
3568935625424245825 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [1, 7], [3, 7], [2, 6], [3, 4], [2, 7], [4, 5]]} | {"states": [116, 139], "expectation_value": -0.0743107259246057, "params": [[-0.0775], [0.0697]], "bitstrings": ["10001011", "01110100"], "total_optimization_steps": 10, "probabilities": [0.00451325954865653, 0.00451325954865653], "optimization_time": 0.5470340251922607} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["10001011", "01110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(-0.0775) q[0];
cx q[3], q[0];
cx q[3], q[7];
rz(-0.0775) q[7];
cx q[3], q[7];
cx q[7], q[1];
rz(-0.0775) q[1];
cx q[7], q[1];
cx q[7], q[2];
rz(-0.0775) q[2];
cx q[7], q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[7];
rz(x0) q[7];
cx q[3], q[7];
cx q[7], q[1];
rz(x0) q[1];
cx q[7], q[1];
cx q[7]... | null | {"circuits": [], "gradients": []} |
fcba12f78dbb04a944afdfe31d032329 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [192, 65], "expectation_value": -8.757710758125171, "params": null, "bitstrings": ["00111111", "10111110"], "total_optimization_steps": 29, "probabilities": [0.14460675854263316, 0.8514784116344465], "optimization_time": 30.720569849014282} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.5681) q[7], q[0];
ry(1.1478) q[7];
ry(-1.5681) q[5];
ry(-1.5681) q[4];
ry(-1.5708) q[2];
ry(-1.5708) q[3];
ry(-0.5851) q[0];
ry(-1.3828) q[6];
ry(1.3535) q[1];
cry(0.3133) q[1], q[7];
cry(-... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.5681) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
6ef59a543be30939ac7c067bacbb4427 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1209, 1177], "expectation_value": -69.47026362233944, "params": [1.202, -0.08610000000000001, 1.2068, 0.004200000000000001, 0.7625000000000001, 0.30910000000000004, 0.7598, 0.0083, 0.0022, -0.5245000000000001, 0.0027, 0.00030000000000000003, 1.1993, 0.0915, 1.1946, 0.0082, 0.7541, -0.2534, 0.7559, 0.0044, 0... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(5) @ Z(0)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(9) @ Z(3)) + 7.0 * (Z(9) @ Z(6)) + 7.0 * (Z(10) @ Z(1)) + 10.0 * Z(0) + 4.5 * Z(1) + 12.5 * Z(3) + 4.5 * Z(4) + 22.5 * Z(6) + 16.0 * Z(... | 5 | 11 | 1 | {"smallest_eigenvalues": [-114.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["01101100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.202) q[0];
rz(-0.0861) q[0];
rx(0.7625) q[1];
rz(0.3091) q[1];
rx(0.0022) q[2];
rz(-0.5245) q[2];
rx(1.1993) q[3];
rz(0.0915) q[3];
rx(0.7541) q[4];
rz(-0.2534) q[4];
rx(0.7716) q[5];
rz(-0.2322) q[5];
rx(1.2047) q[6];
rz(0.1094) q[6];
rx(1.2061) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
fdd193cb015e57ef85d2ae5c4eb54ede | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [34, 12], "expectation_value": -2.1023062656789304, "params": [[0.0589, 0.0673, 0.0737, 0.08], [-0.027, -0.0478, -0.0575, -0.0684]], "bitstrings": ["1011101", "1110011"], "total_optimization_steps": 10, "probabilities": [0.01788962440442955, 0.01791175482655185], "optimization_time": 8.248961687088013} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -2.0 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101111", "1011101", "1111010", "1001111", "1101011", "0111101", "1110011", "0111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0589) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0589) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0589) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0589) q[4];
cx q[1], q[4];
cx q[0], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2595393ec6a8cf85d387fa4d443f68fe | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [48, 58], "expectation_value": -4.499934074184779, "params": null, "bitstrings": ["001111", "000101"], "total_optimization_steps": 27, "probabilities": [1.3833773570316686e-05, 0.999948184162596], "optimization_time": 21.365750074386597} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[5];
ry(-1.5681) q[3];
ry(1.4449) q[2];
ry(1.4449) q[1];
ry(1.4449) q[0];
ry(1.4449) q[4];
cry(0.1187) q[2], q[4];
cry(0.1188) q[4], q[0];
cry(0.1188) q[0], q[1];
cry(0.1186) q[0], q[2];
cry(-0.0027)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
eb9f82d0aaa03fdb655e5d6e72b145a4 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "... | {"states": [4047, 4095], "expectation_value": -1.3515991175027182, "params": [[-0.0747], [0.0741]], "bitstrings": ["000000110000", "000000000000"], "total_optimization_steps": 10, "probabilities": [0.00044386628179050186, 0.00044386628179050186], "optimization_time": 2.2802634239196777} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -2.0 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(10))... | 1 | 12 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000000000", "000000110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(0.2988) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0747) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2988) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"node": 6} | {"circuits": [], "gradients": []} |
ec558389e30bd7bb5460c94de21a4e69 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [102, 100], "expectation_value": -3.724016927474316, "params": [-0.0026000000000000003, 0.5556, 0.8453, 0.2313, 0.9074000000000001, 0.005200000000000001, 0.16740000000000002, 0.5653, 0.3592, 0.6487, 0.9092, 0.029400000000000003, 0.7342000000000001, 0.0419, 0.0025, 0.4364, -0.0021000000000000003, 0.003, 0.846... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + ... | 3 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -4.0, "smallest_bitstrings": ["10001111", "11101100", "11110001", "11001101", "11011001", "11110100", "10110011", "10011011", "01111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0026) q[0];
rz(0.5556) q[0];
rx(0.8453) q[1];
rz(0.2313) q[1];
rx(0.9074) q[2];
rz(0.0052) q[2];
rx(0.1674) q[3];
rz(0.5653) q[3];
rx(0.3592) q[4];
rz(0.6487) q[4];
rx(0.9092) q[5];
rz(0.0294) q[5];
rx(0.7342) q[6];
rz(0.0419) q[6];
rx(0.0025) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
ec35ce3891ac4bb821f68ab1691bd73d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 8}, {"source": 6, "target": 8}, {"sour... | {"states": [0, 255], "expectation_value": -7.126632381659089, "params": [[[-0.002, 1.6131], [0.0025, -0.0021000000000000003], [0.0016, 0.0029000000000000002], [0.0034000000000000002, 0.003], [0.0034000000000000002, -0.003], [0.0016, 0.0022], [0.0027, 0.0027], [0.0031000000000000003, 0.0029000000000000002]]], "bitstring... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + -1.5 * Z(7) + 1.0 * Z(5) + 1.0 * Z(6) | 15 | 8 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["00000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.002) q[0];
ry(0.0025) q[1];
ry(0.0016) q[2];
ry(0.0034) q[3];
ry(0.0034) q[4];
ry(0.0016) q[5];
ry(0.0027) q[6];
ry(0.0031) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x1... | {"node": 6} | {"circuits": [], "gradients": []} |
b3b1cb1520c3aa30d4f7e1cee02a4b43 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 0, "target":... | {"states": [290, 354], "expectation_value": -9.062068494057609, "params": [-0.0018000000000000002, -0.0018000000000000002, 1.5679, 1.5691000000000002, -0.0023, -0.0023, -0.8470000000000001, -0.8498, 1.5726, 1.5754000000000001, 0.0033, 0.0033, 0.0022, 0.0022, -0.0031000000000000003, -0.0031000000000000003, 1.6224, 1.515... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["1010011101", "1001111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0018) q[0];
ry(1.5679) q[1];
ry(-0.0023) q[2];
ry(-0.847) q[3];
ry(1.5726) q[4];
ry(0.0033) q[5];
ry(0.0022) q[6];
ry(-0.0031) q[7];
ry(1.6224) q[8];
ry(-0.0046) q[9];
crz(1.3607) q[9], q[0];
crz(-0.102) q[8], q[9];
crz(-1.2186) q[7], q[8];
crz(1.1698)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
f0e8bbb7550def231670f6898b4af761 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [1023, 960], "expectation_value": -0.09094228715473693, "params": [[-0.013600000000000001], [0.0074]], "bitstrings": ["0000000000", "0000111111"], "total_optimization_steps": 10, "probabilities": [0.0010024415014805589, 0.001002448886353352], "optimization_time": 3.5296835899353027} | -2.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -3.0 * (Z(4) @ Z(6)) + -3.0 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(4)) + -3.0 * (Z(8) @ Z(6)) + -3.5 * (Z(8) @ Z(4)) + -3.5 * (Z(8) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + -2.5 * (Z(9) @ Z(4)) + -... | 1 | 10 | 1 | {"smallest_eigenvalues": [-34.0, -34.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -31.0, "smallest_bitstrings": ["0000000000", "0000111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.0544) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0408) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0544) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0136) q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 8} | {"circuits": [], "gradients": []} |
4d63f4ebf529d16921552ca8fd853591 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [159, 155], "expectation_value": -76.53877184935723, "params": [0.3633, 0.3052, 0.9976, -0.0005, 0.0011, 0.7375, 0.0048000000000000004, 0.5476, 0.9942000000000001, 0.0, 0.9937, 0.1265, 0.5548000000000001, 0.25670000000000004, 0.9956, 0.0036000000000000003, 0.9820000000000001, -0.1082, 0.3678, 0.2969, 0.9958,... | 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(5) @ Z(0)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(4)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(7) @ Z(0)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(8)) + 6.5 * Z(0) + 17.5 * Z(1) + 21.0 * ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-90.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["101100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3633) q[0];
rz(0.3052) q[0];
rx(0.9976) q[1];
rz(-0.0005) q[1];
rx(0.0011) q[2];
rz(0.7375) q[2];
rx(0.0048) q[3];
rz(0.5476) q[3];
rx(0.9942) q[4];
rz(0) q[4];
rx(0.9937) q[5];
rz(0.1265) q[5];
rx(0.5548) q[6];
rz(0.2567) q[6];
rx(0.9956) q[7];
rz(0.0036... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
0d8d9440607c15706cae5380bc7bfd0c | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43669, 43605], "expectation_value": -1.6294628877850195, "params": [[1.351, 0.27, 1.5919, 0.268, 1.5959, 0.28950000000000004, 1.5946, 0.3592, 1.5466, 1.5506, 0.35350000000000004, 1.5836000000000001, 0.31520000000000004, 1.5915000000000001, 0.2879, 0.34490000000000004], [1.6134000000000002, 0.2933, 1.5894000... | 0.25 * (Z(0) @ Z(1)) + -0.0008264462809917356 * (Z(2) @ Z(0)) + -0.0008264462809917356 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006714876033057851 * (Z(4) @ Z(0)) + 0.0003099173553719008 * (Z(4) @ Z(2)) + -0.0006714876033057851 * (Z(5) @ Z(1)) + 0.0003099173553719008 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0006... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.023657024793354], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0236570247932644, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(1.351) q[0];
ry(0.27) q[1];
ry(1.5919) q[2];
ry(0.268) q[3];
ry(1.5959) q[4];
ry(0.2895) q[5];
ry(1.5946) q[6];
ry(0.3592) q[7];
ry(1.5466) q[8];
ry(1.5506) q[9];
ry(0.3535) q[10];
ry(1.5836) q[11];
ry(0.3152) q[12];
ry(1.5915) q[13];
ry(0.2879) q[14];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
23eecc982a2f211d1eabd60eb6402f3e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 1, "target": 4}, {"weight": 9, "source": 2, "target": 3}, {"weight": ... | {"states": [378, 346], "expectation_value": -88.2598028697412, "params": [0.0848, 0.0772, 0.1771, 0.06720000000000001, 0.5940000000000001, 0.0103, 0.5951000000000001, 0.020900000000000002, 0.17930000000000001, -0.2535, 0.1792, -0.2571, 0.5906, -0.0114, 0.5898, 0.028, 0.3849, -0.2117, 0.34740000000000004, -0.221, 0.5956... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(6)) + 5.5 * (Z(9) @ Z(8)) + 13.0 * Z(1) + -4.0 * Z(0) + 13.5 *... | 6 | 10 | 2 | {"smallest_eigenvalues": [-100.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -87.5, "smallest_bitstrings": ["1010100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0848) q[0];
rz(0.0772) q[0];
rx(0.594) q[1];
rz(0.0103) q[1];
rx(0.1793) q[2];
rz(-0.2535) q[2];
rx(0.5906) q[3];
rz(-0.0114) q[3];
rx(0.3849) q[4];
rz(-0.2117) q[4];
rx(0.5956) q[5];
rz(-0.0338) q[5];
rx(0.5911) q[6];
rz(0.012) q[6];
rx(0.1939) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
094c21a567eedc9b0544914371dc9998 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": ... | {"states": [958, 1022], "expectation_value": -18.173583113043925, "params": null, "bitstrings": ["0001000001", "0000000001"], "total_optimization_steps": 100, "probabilities": [0.05859965874871071, 0.27429200147955524], "optimization_time": 380.9104337692261} | -3.5 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(3)) + -3.0 * (Z(5) @ Z(0)) + 1.0 * (Z(6) @ Z(3)) + -4.0 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -3.0 * (Z(8) @ Z(3)) + -3.0 * (Z(8) @ Z(0)) + -3.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + -2.5 * (Z(1) @ Z(6)) + 0.5 *... | 1 | 10 | 1 | {"smallest_eigenvalues": [-42.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -41.5, "smallest_bitstrings": ["0000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5708) q[0], q[6];
ry(0.8821) q[0];
cry(1.5708) q[2], q[3];
cry(0.8673) q[3], q[8];
ry(-0.3141) q[2];
cry(0.1392) q[3], q[2];
cry(0.0996) q[8], q[2];
cry(0.1328) q[6], q[2];... | null | {"node": 10} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[0], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... |
0f435eed505f807fb8dc44643dfd43ce | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target"... | {"states": [8, 1], "expectation_value": -13.840561154722874, "params": [[-0.0477, -0.020800000000000003, 0.0063, -0.0105], [0.0753, 0.07100000000000001, 0.060500000000000005, 0.0653]], "bitstrings": ["10111", "11110"], "total_optimization_steps": 10, "probabilities": [0.08583038652094557, 0.09462513233611804], "optimiz... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.25 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.25 * Z(1) + -8.5 * Z(0) + -8.25 * Z(2) + -8.25 * Z(3) + -7.75 * Z(4) | 11 | 5 | 4 | {"smallest_eigenvalues": [-21.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.75, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.2147) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2147) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2147) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2147) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.2147) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
16d309fbf50eb3de0ab671378ee18bce | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.0843016686736028, "params": [[0.013800000000000002], [-0.0239]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0040455083391163285, 0.004050923022964584], "optimization_time": 2.4863438606262207} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(0)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(5)) + -1.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(6) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(-0.0069) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(-0.0069) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(-0.0414) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(-0.0483) q[1];
cx q[3], q[1];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
93141c357d164fcf2a36ba666f8f01e3 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [25, 22], "expectation_value": -1.5007434388240293, "params": null, "bitstrings": ["00110", "01001"], "total_optimization_steps": 29, "probabilities": [0.06723978163605852, 0.6325175128957774], "optimization_time": 25.97515630722046} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["00110", "01001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(-1.3016) q[2], q[4];
cry(-1.3016) q[3], q[1];
ry(1.0086) q[0];
cry(-0.4691) q[2], q[1];
cry(0.8314) q[2], q[3];
cry(-0.4269) q[3], q[4];
cry(0.8492) q[3], q[2];
cry(0.4128) q[2], q[0];
cry(-0.1403) q[0], q[1];
ry(0.2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.3016) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... |
8790253148889747345 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4, 6], [0, 5, 6], [2, 3, 4, 6], [0, 2, 3], [3, 4, 5]]} | {"states": [59, 109], "expectation_value": -0.6378819742562787, "params": [[-0.37770000000000004], [0.3759]], "bitstrings": ["1000100", "0010010"], "total_optimization_steps": 40, "probabilities": [0.01814649048749764, 0.01814649048749764], "optimization_time": 1.445974349975586} | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.4166666666666665, "smallest_bitstrings": ["1000100", "0010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(-0.063) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.1259) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.063) q[4];
cx q[1], q[4];
cx q[2], q[6];
rz(-0.1259) q[6];
cx q[2], q[6];
cx q[1], q[6];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
c... | null | {"circuits": [], "gradients": []} |
fd959b015d7c5b50b2cd05831ed95a60 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [211, 122], "expectation_value": -9.404319062645522, "params": [[-0.046700000000000005], [0.06280000000000001]], "bitstrings": ["00101100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006900645380483314, 0.007800740072998409], "optimization_time": 2.097930431365967} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.3269) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3269) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3269) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3269) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
69144809aea48cb46eae9c3950f24a15 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [12, 3], "expectation_value": -0.10491946281549398, "params": [[-0.0594, -0.0723], [0.0714, 0.0723]], "bitstrings": ["0011", "1100"], "total_optimization_steps": 10, "probabilities": [0.07255385089182942, 0.07255385089182943], "optimization_time": 1.6356072425842285} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + 0.0 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1100", "0110", "0011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(-0.0594) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0594) q[1];
cx q[2], q[1];
cx q[1], q[3];
rz(-0.0594) q[3];
cx q[1], q[3];
rz(0.0594) q[2];
rz(0) q[0];
rz(0.0594) q[1];
rz(0) q[3];
h q[0];
rz(0.1428) q[0];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx... | null | {"circuits": [], "gradients": []} |
ff12bd2c4927dd09879cd9143bdb8472 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 5}, {"weight": 4... | {"states": [119, 118], "expectation_value": -10.593220299170742, "params": [[0.0534], [-0.07880000000000001]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.008045424903024796, 0.009004869848287422], "optimization_time": 2.167055606842041} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) @ Z(6)) + 15.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.3738) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3738) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3738) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.3738) q[3];
cx q[0], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
1674724299570904343 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 5], [0, 5], [0, 2], [0, 3], [3, 4], [2, 3], [1, 2], [5, 7], [3, 7], [6, 7], [8, 6], [0, 4], [8, 5], [1, 6], [3, 5], [0, 6], [8, 0], [2, 6], [0, 7], [8, 2], [8, 4], [8, 1], [1, 7], [2, 4]]} | {"states": [188, 412], "expectation_value": -4.186335725046351, "params": null, "bitstrings": ["101000011", "001100011"], "total_optimization_steps": 71, "probabilities": [0.07270855057404164, 0.7627988374049823], "optimization_time": 161.92919850349426} | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100011", "010111100", "110011100", "101000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[8], q[2];
cry(-1.0342) q[6], q[7];
ry(1.0293) q[6];
cry(1.4052) q[6], q[5];
cry(-0.9035) q[5], q[7];
cry(-0.7688) q[6], q[2];
ry(1.369) q[1];
cry(-1.444) q[5], q[8];
ry(1.55... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[8], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
ab957251534d09507f870c3a6ef42154 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "... | {"states": [2394, 1701], "expectation_value": -0.020742554587379024, "params": [[-0.0876], [0.0804]], "bitstrings": ["011010100101", "100101011010"], "total_optimization_steps": 10, "probabilities": [0.00026529797358671863, 0.0002652979735867188], "optimization_time": 4.7645485401153564} | 0.25 * (Z(0) @ Z(1)) + 0.00034722222222222224 * (Z(2) @ Z(0)) + 0.00034722222222222224 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0010416666666666667 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + -0.0010416666666666667 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0006944444444444445 * (Z(6)... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5131944444444438, -1.5131944444444438, -1.5131944444444438, -1.5131944444444438], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5104166666666665, "smallest_bitstrings": ["100101011010", "101010010101", "010101101010", "011010100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(-0.0438) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0001) q[3];
cx q[1], q[3];
cx q[2], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [9, 35], "expectation_value": -0.2497109855908984, "params": [[0.0458, 0.052000000000000005], [-0.0367, -0.0364]], "bitstrings": ["110110", "011100"], "total_optimization_steps": 10, "probabilities": [0.017309818882551856, 0.017661282550528408], "optimization_time": 3.594424247741699} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0458) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0458) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0458) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0458) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0458... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
23ed60bc96758366e843c21e3bc9a3e0 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [70, 7], "expectation_value": -10.036678621378986, "params": [[0.032600000000000004, -0.008700000000000001, -0.0685], [-0.0476, -0.041, 0.0502]], "bitstrings": ["10111001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.006503834032690419, 0.0070342958633742335], "optimization_time": 11.007... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.... | 10 | 8 | 3 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.1793) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1793) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1793) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1793) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
d972279ded7f316374e6dacb276633a3 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, ... | {"states": [17, 127], "expectation_value": -0.45379706409624054, "params": [[0.008400000000000001, -0.06620000000000001], [-0.046400000000000004, 0.059000000000000004]], "bitstrings": ["11101110", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004916316912517562, 0.0049550807215623036], "optimization_... | -1.0 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(5)) + -1.75 * (Z(6) @ Z(2)) + 2.0 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-8.75, -8.75, -8.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.75, "smallest_bitstrings": ["11101110", "10000000", "11000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0168) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0084) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0042) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0042) q[4];
cx q[1], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
-3140751740122865952 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[2, 6, 7], [0, 4], [8, 1], [9, 10], [1, 5, 9], [0, 10, 3], [1, 2, 6], [0, 2, 6], [9, 3, 1], [10, 7], [8, 9, 6], [3, 5, 7], [8, 10], [0, 5, 6], [1, 10], [0, 7], [8, 2, 3, 6], [4, 6], [0, 1], [1, 4, 9, 7], [0, 2, 3]]} | {"states": [1214, 1182], "expectation_value": -4.893035978785487, "params": [1.5102, -0.0014, 1.4805000000000001, 0.0027, 0.0023, 1.5284, 0.0024000000000000002, 0.0012000000000000001, 2.4570000000000003, 0.8827, 2.4577, 0.007, 2.2096, -0.3951, 0.9097000000000001, 0.00030000000000000003, -0.002, 1.5381, -0.002, 0.0067, ... | 0.5833333333333334 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(6)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.25 * (Z(8) @ Z(6)) + 0.0833... | 7 | 11 | 1 | {"smallest_eigenvalues": [-5.250000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.083333333333334, "smallest_bitstrings": ["01101100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.5102) q[0];
rz(-0.0014) q[0];
rx(0.0023) q[1];
rz(1.5284) q[1];
rx(2.457) q[2];
rz(0.8827) q[2];
rx(2.2096) q[3];
rz(-0.3951) q[3];
rx(-0.002) q[4];
rz(1.5381) q[4];
rx(0.9242) q[5];
rz(1.0895) q[5];
rx(1.5749) q[6];
rz(-0.0014) q[6];
rx(1.5676) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
513c00093dea827c03c59c65710798db | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [74, 42], "expectation_value": -2.1933425632479793, "params": [[0.5750000000000001, 0.6034, 0.0029000000000000002, 0.6028, 0.22640000000000002, 0.6076, 0.0028], [0.5992000000000001, 0.6014, 0.0027, 0.6025, 0.317, 0.6025, 0.0026000000000000003], [0.4983, 0.5899, 0.0029000000000000002, 0.607, 0.2858, 0.604, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(6) @ Z(5)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.75 * Z(2) + -0.25 * Z(... | 10 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010101", "0111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.575) q[0];
ry(0.6034) q[1];
ry(0.0029) q[2];
ry(0.6028) q[3];
ry(0.2264) q[4];
ry(0.6076) q[5];
ry(0.0028) q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
cz q[0], q[6];
ry(0.5992) q[0];
ry(0.6014) q[1];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
8516997533418799677 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 3], [0, 1, 2], [0, 1, 3], [2, 4], [3, 4, 6], [0, 4], [3, 5], [0, 6], [2, 5, 6], [1, 4, 5], [1, 2, 5]]} | {"states": [45, 39], "expectation_value": -0.16151281403002002, "params": [[0.08080000000000001], [-0.0879]], "bitstrings": ["1010010", "1011000"], "total_optimization_steps": 10, "probabilities": [0.009067484791595136, 0.009070520475900443], "optimization_time": 0.7401580810546875} | 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(4) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.000000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["1011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(0.0808) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0269) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.0539) q[3];
cx q[1], q[3];
cx q[2], q[0];
rz(0.0269) q[0];
cx q[2], q[0];
cx q[1], q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3]... | null | {"circuits": [], "gradients": []} |
7c42f5cbaf3924d31d7b57a9c6bb4341 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capaci... | {"states": [7902, 3806], "expectation_value": -17.313417734462647, "params": [0.6194000000000001, -0.018000000000000002, 0.5253, 0.1524, -0.5126000000000001, -0.021, -0.4697, 0.0309, -0.7679, -0.008700000000000001, -0.7537, -0.0066, 0.7785000000000001, -0.025, 0.7618, -0.0162, -0.1003, 0.0794, -0.3149, 0.0298, 0.685700... | 0.5 * (Z(5) @ Z(10)) + 2.0 * (Z(11) @ Z(10)) + 1.0 * (Z(11) @ Z(5)) + 0.5 * (Z(6) @ Z(10)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(11)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(10)) + -1.0 * (Z(4) @ Z(11)) + -0.5 * (Z(4) @ Z(7)) + 1.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + 2.0 * (Z(8) @ Z(7)) + -... | 6 | 13 | 2 | {"smallest_eigenvalues": [-17.7, -17.7, -17.7, -17.7], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -17.5, "smallest_bitstrings": ["1000100100001", "0010000000001", "1000000001001", "0001000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.6194) q[0];
rz(-0.018) q[0];
rx(-0.5126) q[1];
rz(-0.021) q[1];
rx(-0.7679) q[2];
rz(-0.0087) q[2];
rx(0.7785) q[3];
rz(-0.025) q[3];
rx(-0.1003) q[4];
rz(0.0794) q[4];
rx(0.6857) q[5];
rz(-0.012) q[5];
rx(0.6907) q[6];
rz(-0.008) q[6];
rx(0.3086) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
d0cf443e701d6863baf077a7ace5620a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 9, "source": 2, "target": 3}, {"weight": 12, "source": 3, "target": 8}, {"weight": ... | {"states": [490, 234], "expectation_value": -91.49611097966526, "params": [0.0016, 0.3074, 0.0012000000000000001, 0.3078, 0.18330000000000002, 0.09670000000000001, 0.18860000000000002, 0.0941, 0.39530000000000004, 0.0181, 0.3937, 0.0263, 0.39230000000000004, 0.003, 0.38820000000000005, 0.0001, 0.3957, 0.0002, 0.3895, 0... | 5.5 * (Z(1) @ Z(4)) + 5.5 * (Z(2) @ Z(4)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(4)) + 5.5 * (Z(9) @ Z(8)) + 17.0 * Z(4) ... | 7 | 10 | 4 | {"smallest_eigenvalues": [-104.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.0, "smallest_bitstrings": ["1100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0016) q[0];
rz(0.3074) q[0];
rx(0.1833) q[1];
rz(0.0967) q[1];
rx(0.3953) q[2];
rz(0.0181) q[2];
rx(0.3923) q[3];
rz(0.003) q[3];
rx(0.3957) q[4];
rz(0.0002) q[4];
rx(0.1705) q[5];
rz(0.1432) q[5];
rx(0.3943) q[6];
rz(0.0167) q[6];
rx(0.0901) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
9e8a866d2c0011b6946d4c64e758f31c | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 4}, {"weight": 17, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [188, 124], "expectation_value": -37.8184138275246, "params": null, "bitstrings": ["01000011", "10000011"], "total_optimization_steps": 100, "probabilities": [0.1356070492565516, 0.23366831123903148], "optimization_time": 192.54503464698792} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(0)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-77.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(9.9081) q[4];
ry(6.5925) q[3];
ry(-9.0161) q[1];
ry(15.9361) q[2];
ry(0.9644) q[5];
cry(-22.0311) q[5], q[1];
cry(62.7075) q[5], q[3];
cry(-3.4209) q[5], q[4];
cry(1.4208) q[5], q[2];
ry(5.0533... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(9.9081) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
9e3fd441307ea46e321a51e29b173f1a | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [239, 511], "expectation_value": -15.642131759604682, "params": null, "bitstrings": ["11100010000", "11000000000"], "total_optimization_steps": 100, "probabilities": [0.10389550088160228, 0.6207979075228155], "optimization_time": 250.60188579559326} | 2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(10) @ Z(6)) + 1.0 * (Z(10) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(6)) + -... | 1 | 11 | 3 | {"smallest_eigenvalues": [-17.25, -17.25, -17.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -16.25, "smallest_bitstrings": ["11100010000", "11000000000", "11010010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
ry(-0.0267) q[5];
ry(0.4144) q[8];
cry(1.0551) q[8], q[5];
cry(0.9107) q[3], q[5];
cry(1.0479) q[5], q[8];
ry(1.5708) q[4];
cry(1.5708) q[4], q[10];
cry(1.5444) q[2], q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(-0.0267) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = m... |
c0497b20d0e680cacc77174a13e8b8b4 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [49, 35], "expectation_value": -0.4462489356017779, "params": [[0.0648, 0.07590000000000001], [-0.0649, -0.0755]], "bitstrings": ["1001110", "1011100"], "total_optimization_steps": 10, "probabilities": [0.010546958167669498, 0.010546958167669505], "optimization_time": 3.357537031173706} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(6) + 0.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["1011100", "0011101", "0111001", "1001110", "0001111", "0101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.0648) q[0];
cx q[6], q[0];
cx q[3], q[1];
rz(0.0648) q[1];
cx q[3], q[1];
cx q[6], q[4];
rz(0.0648) q[4];
cx q[6], q[4];
cx q[3], q[4];
rz(0.0648) q[4];
cx q[3], q[4];
cx q[1], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
6509202438049210650 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 5], [0, 3, 6], [2, 3, 5], [0, 5], [0, 7], [3, 4]]} | {"states": [240, 23], "expectation_value": -0.06952884885644639, "params": [[-0.0854], [0.08070000000000001]], "bitstrings": ["00001111", "11101000"], "total_optimization_steps": 10, "probabilities": [0.004399169949858719, 0.004399452568203951], "optimization_time": 0.7232024669647217} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["00001111", "11101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[1];
rz(-0.0285) q[1];
cx q[3], q[1];
cx q[3], q[5];
rz(-0.0569) q[5];
cx q[3], q[5];
cx q[1], q[5];
rz(-0.0285) q[5];
cx q[1], q[5];
cx q[3], q[0];
rz(-0.0285) q[0];
cx q[3], q[0];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[5];
rz(x1) q[5];
cx q[3], q[5];
cx q[1], q... | null | {"circuits": [], "gradients": []} |
66b128262b8b8ee59605a98d8b63bbdd | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "ta... | {"states": [0, 112], "expectation_value": -17.6773442020227, "params": [1.0415, 0.8777, 0.004, -0.0036000000000000003, 0.0269, -0.017400000000000002, 0.0035, -0.0079, -0.0025, -0.0025, -0.0025, -0.0025, 0.0004, -0.005, -1.336, -0.4824, 1.3646, 0.0046, 1.4769, 2.0043, 0.11800000000000001, 2.0057, -0.0114, -0.0008, 1.524... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(5) + 1.5 * Z(3) + -2.0 * Z(6) + -1.5 * Z(4) | 14 | 7 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["0001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(1.0415) q[0];
ry(0.004) q[1];
ry(0.0269) q[2];
ry(0.0035) q[3];
ry(-0.0025) q[4];
ry(-0.0025) q[5];
ry(0.0004) q[6];
crx(-1.336) q[6], q[0];
crx(1.5878) q[5], q[6];
crx(1.524) q[4], q[5];
crx(-0.0114) q[3], q[4];
crx(0.118) q[2], q[3];
crx(1.4769) q[1], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} |
f490a28ecdd83f85cb7689547a0eb0f1 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 2, "target": 5}, {"weight": 1, "... | {"states": [1386, 2709], "expectation_value": -0.015067785478603131, "params": [[0.0757], [-0.06720000000000001]], "bitstrings": ["101010010101", "010101101010"], "total_optimization_steps": 10, "probabilities": [0.00025936385233561146, 0.0002593638523356115], "optimization_time": 6.104593276977539} | 0.25 * (Z(0) @ Z(1)) + -0.0015625 * (Z(2) @ Z(0)) + -0.0015625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0010416666666666667 * (Z(4) @ Z(0)) + 0.00034722222222222224 * (Z(4) @ Z(2)) + -0.0010416666666666667 * (Z(5) @ Z(1)) + 0.00034722222222222224 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0005208333333333333 * (Z(6... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5131944444444443], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5131944444444438, "smallest_bitstrings": ["010101101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(0.0379) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0002) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0002) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
1dd52cb9dd602cf4736096516b4b8baf | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [303, 295], "expectation_value": -76.59349855956498, "params": [0.8953000000000001, 0.0528, 0.0035, 0.534, 0.2722, -0.3171, 0.9023, 0.0522, 0.0054, 0.49710000000000004, 0.46290000000000003, -0.2351, 0.903, -0.012, 0.8932, 0.0014, 0.8989, 0.0031000000000000003, 0.9039, 0.0891, 0.0032, 0.5381, 0.2803, -0.3174,... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(2) @ Z(6)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(8) @ Z(2)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(7) @ Z(8)) + 19.0 * Z(0) + -4.0 * Z(1) + 19.5 * Z(3) + -4.0 * Z(4) + ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["011011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8953) q[0];
rz(0.0528) q[0];
rx(0.0035) q[1];
rz(0.534) q[1];
rx(0.2722) q[2];
rz(-0.3171) q[2];
rx(0.9023) q[3];
rz(0.0522) q[3];
rx(0.0054) q[4];
rz(0.4971) q[4];
rx(0.4629) q[5];
rz(-0.2351) q[5];
rx(0.903) q[6];
rz(-0.012) q[6];
rx(0.8932) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
ad2c8808e4e24f79d1ce4f9a8d64bbe1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [0, 61], "expectation_value": -6.867576546358282, "params": [-0.011000000000000001, 1.6434, 0.0046, 0.9581000000000001, -0.0061, 0.18810000000000002, 0.0024000000000000002, 0.27490000000000003, -0.3665, 0.887, -0.3231, 0.5717, -0.332, 0.3715, -0.38970000000000005, 0.4863, -0.27590000000000003, 0.324300000000... | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ ... | 6 | 8 | 4 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["11000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.011) q[0];
rz(1.6434) q[0];
rx(-0.0061) q[1];
rz(0.1881) q[1];
rx(-0.3665) q[2];
rz(0.887) q[2];
rx(-0.332) q[3];
rz(0.3715) q[3];
rx(-0.2759) q[4];
rz(0.3243) q[4];
rx(-0.2933) q[5];
rz(0.376) q[5];
rx(0.0025) q[6];
rz(0.4905) q[6];
rx(0.1196) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
8292612205294179782 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 3, 4, 7], [5, 6], [2, 6, 7], [0, 8, 3, 6], [2, 3, 4, 5, 7, 8], [1, 4, 6], [1, 3, 4, 5], [8, 3, 4, 6]]} | {"states": [229, 167], "expectation_value": -0.36980299902260594, "params": [[0.1804], [-0.1796]], "bitstrings": ["100011010", "101011000"], "total_optimization_steps": 20, "probabilities": [0.0028761012582124634, 0.0028761012582124647], "optimization_time": 8.1274254322052} | 0.05 * (Z(1) @ Z(2)) + 0.08333333333333334 * (Z(3) @ Z(2)) + 0.13333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333334 * (Z(4) @ Z(2)) + 0.3 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(1)) + 0.08333333333333334 * (Z(7) @ Z(3)) + 0.08333333333333334 * (Z(7) @ Z(4)) + 0.03333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.1333333333333333, -2.1333333333333333, -2.1333333333333333, -2.1333333333333333], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.116666666666667, "smallest_bitstrings": ["100011010", "011001001", "010001011", "101011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[1];
rz(0.018) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0301) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.0481) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(0.0301) q[4];
cx q[2], q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
87224c590a6c623e4385c63f6a5a56ea | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [0, 27], "expectation_value": -3.4872913638406473, "params": [0.3269, 0.6262, 0.3017, 0.6366, 0.33840000000000003, 0.5239, 0.3034, 0.6341, -0.3023, 0.2207, -0.2652, 0.434, -0.3568, 0.5563, -0.3381, 0.6404000000000001, -0.35350000000000004, 0.5732, -0.3297, 0.6532, 0.2904, 0.632, -0.2987, 0.5523, 0.2945000000... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + -0.5 * Z(2) | 6 | 5 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["00100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.3269) q[0];
rz(0.6262) q[0];
rx(0.3384) q[1];
rz(0.5239) q[1];
rx(-0.3023) q[2];
rz(0.2207) q[2];
rx(-0.3568) q[3];
rz(0.5563) q[3];
rx(-0.3535) q[4];
rz(0.5732) q[4];
crx(0.5612) q[4], q[3];
crx(0.2323) q[4], q[2];
crx(-0.1081) q[4], q[1];
crx(-0.4949) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} |
d335d344da78456c467f5a7e06677868 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [265, 269], "expectation_value": -8.073192717581945, "params": [1.6122, 0.00030000000000000003, -0.0201, 0.003, -0.0023, 0.0043, 0.0011, 0.0014, -0.0037, 0.0053, 1.6095000000000002, 0.0027, 1.604, 0.0005, 0.0012000000000000001, 0.00030000000000000003, 1.6043, 0.0018000000000000002, 0.005, 0.0098, 0.004200000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["011110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6122) q[0];
rz(0.0003) q[0];
rx(-0.0201) q[1];
rz(0.003) q[1];
rx(-0.0023) q[2];
rz(0.0043) q[2];
rx(0.0011) q[3];
rz(0.0014) q[3];
rx(-0.0037) q[4];
rz(0.0053) q[4];
rx(1.6095) q[5];
rz(0.0027) q[5];
rx(1.604) q[6];
rz(0.0005) q[6];
rx(0.0012) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
788893f2d0502b688315a8e438b63984 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 7, "s... | {"states": [253, 255], "expectation_value": -8.416181428221824, "params": null, "bitstrings": ["100000010", "100000000"], "total_optimization_steps": 100, "probabilities": [0.18559397922120133, 0.2781558327462927], "optimization_time": 234.59290552139282} | -0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(0)) + 4.25 * (Z(8) @ Z(0)) + -1.5 * (Z(8) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.75 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -1.5 * (Z(7) @ Z(6)) + -1.75 * (Z(7) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-22.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5708) q[6];
cry(1.5708) q[6], q[7];
cry(1.57) q[6], q[8];
cry(1.2796) q[7], q[5];
ry(1.5167) q[3];
cry(-1.5708) q[8], q[0];
ry(-1.0459) q[5];
cry(0.0001) q[6], q[5];
cry(0.0007) q[3],... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
1945c14bbcec92b7e4f7655d5da7795f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [254, 127], "expectation_value": -2.0077975380042528, "params": [[0.0601, 0.0717, 0.0641], [-0.035500000000000004, -0.059800000000000006, -0.0611]], "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 10, "probabilities": [0.010215143460301734, 0.010619159581642], "optimization_time": 11.2619... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["10000000", "11111110", "10011010", "10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.0902) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(-0.0301) q[4];
cx q[0], q[4];
cx q[2], q[5];
rz(-0.0902) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.0301) q[5];
cx q[0], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
8400dfc59c687750e53928e5f0a8ca8d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 6}, {"capac... | {"states": [0, 511], "expectation_value": -1.7184643867130278, "params": [[-0.0656], [0.0565]], "bitstrings": ["1111111111", "1000000000"], "total_optimization_steps": 20, "probabilities": [0.0016990961040111894, 0.0017127344690652524], "optimization_time": 3.5831656455993652} | -1.25 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + -2.0 * (Z(6) @ Z(2)) + -0.75 * (Z(9) @ Z(1)) + 1.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(2)) + -1.5 * (Z(9) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(9)) + -0.5 * (Z(8) @ Z(1)) + -1.5 * (Z(8) @ Z(2)) + -1.75 * (Z(8) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-26.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.25, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.164) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.328) q[2];
cx q[1], q[2];
cx q[1], q[6];
rz(0.0984) q[6];
cx q[1], q[6];
cx q[2], q[6];
rz(0.2624) q[6];
cx q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
4426156142540857195 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6, 7], [1, 2], [2, 5, 7], [0, 5], [4, 6], [2, 3], [0, 3, 6], [5, 6], [0, 2], [0, 1, 6], [1, 3]]} | {"states": [147, 195], "expectation_value": -2.863021536026919, "params": null, "bitstrings": ["01101100", "00111100"], "total_optimization_steps": 49, "probabilities": [0.1350359148858828, 0.6798506192264513], "optimization_time": 63.821324825286865} | 0.3333333333333333 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.166... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["00111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.4449) q[6];
cry(-1.4433) q[6], q[4];
cry(-1.3577) q[0], q[5];
ry(0.804) q[0];
cry(-0.5428) q[6], q[5];
cry(-1.1509) q[3], q[1];
ry(1.1362) q[7];
cry(0.5407) q[6], q[0];
ry(-0.266) q[5];
cry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
473775bc8d8b4cca680d00f7b64c1aa1 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [44, 41], "expectation_value": -4.996464150018096, "params": null, "bitstrings": ["010011", "010110"], "total_optimization_steps": 25, "probabilities": [0.0663480739860024, 0.9303666439722974], "optimization_time": 17.132969856262207} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["010011", "010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.5708) q[4];
ry(1.4449) q[2];
ry(1.4449) q[0];
cry(-1.0342) q[5], q[3];
ry(0.7003) q[5];
ry(-0.4549) q[3];
cry(0.4963) q[2], q[5];
cry(-0.3789) q[2], q[3];
cry(0.2489) q[0], q[5];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
d94808e5cc9b60725b159cb308a4d8c1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capaci... | {"states": [1, 29], "expectation_value": -6.6830394947084635, "params": [0.0027, 0.0023, -1.1251, 1.1311, -0.0019, -0.0018000000000000002, -0.0021000000000000003, -0.0022, -0.0079, -0.0004, 1.5738, 1.5718, -0.0026000000000000003, -0.0022, 3.4202000000000004, -2.6534, 3.6443000000000003, 0.6206, 0.9981000000000001, -1.8... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(3) + -1.5 * Z(4) + 0.5 * Z(5) + -1.25 * Z(2) | 14 | 6 | 1 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["100010", "101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.0027) q[0];
ry(-1.1251) q[1];
ry(-0.0019) q[2];
ry(-0.0021) q[3];
ry(-0.0079) q[4];
ry(1.5738) q[5];
crx(-0.0026) q[5], q[0];
crx(-2.2155) q[4], q[5];
crx(-0.0348) q[3], q[4];
crx(0.9981) q[2], q[3];
crx(3.6443) q[1], q[2];
crx(3.4202) q[0], q[1];
ry(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
8f0cd3e10afb23be120eeba2febc9320 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}, {"id": 15}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 7}, {"sourc... | {"states": [32767, 32705], "expectation_value": -62.6429430208037, "params": [[[0.0029000000000000002, 3.1385], [0.0027, 0.0028], [0.002, -0.0021000000000000003], [-0.002, -0.002], [0.0021000000000000003, 0.0019], [0.0019, 0.0019], [0.0021000000000000003, 0.0019], [0.0023, 0.0018000000000000002], [0.0023, 0.0022], [0.4... | -3.5 * (Z(0) @ Z(3)) + 1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(0)) + -3.5 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -4.0 * (Z(1) @ Z(7)) + -3.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(7)) + -3.5 * (Z(4) @ Z(1)) + -3.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(7)) + -3.0 * (Z(6) @ Z(1)) + -3.0... | 15 | 15 | 1 | {"smallest_eigenvalues": [-65.99999999999994], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.9999999999991, "smallest_bitstrings": ["000000000111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(0.0029) q[0];
ry(0.0027) q[1];
ry(0.002) q[2];
ry(-0.002) q[3];
ry(0.0021) q[4];
ry(0.0019) q[5];
ry(0.0021) q[6];
ry(0.0023) q[7];
ry(0.0023) q[8];
ry(0.4947) q[9];
ry(0.0023) q[10];
ry(0.0023) q[11];
ry(0.0024) q[12];
ry(0.0025) q[13];
ry(0.0025) q[14];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 14} | {"circuits": [], "gradients": []} |
89f9d52c565383e4dbce8a5723ffbf81 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1103, 1101], "expectation_value": -83.58022200043516, "params": [2.4025000000000003, 0.0091, 0.9213, 0.0026000000000000003, -0.0026000000000000003, 0.0037, 0.0026000000000000003, 0.0034000000000000002, 2.3976, 0.0031000000000000003, -0.003, 0.0022, 0.8251000000000001, 0.0007, 2.4033, 0.0058000000000000005, ... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(4) @ Z(0)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(9) @ Z(8)) + 7.0 * (Z(10) @ Z(1)) + 7.0 * (Z(10) @ Z(8)) + 7.0 * (Z(10) @ Z(9)) + 1.0 * Z(1) + 17.0 * Z(0) + 13.5 * Z(4) + -5.0 * Z(5) + 17.0 * Z(7) + 0.5 * ... | 18 | 11 | 1 | {"smallest_eigenvalues": [-114.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["01110110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(2.4025) q[0];
rz(0.0091) q[0];
rx(0.9213) q[1];
rz(0.0026) q[1];
rx(-0.0026) q[2];
rz(0.0037) q[2];
rx(0.0026) q[3];
rz(0.0034) q[3];
rx(2.3976) q[4];
rz(0.0031) q[4];
rx(-0.003) q[5];
rz(0.0022) q[5];
rx(0.8251) q[6];
rz(0.0007) q[6];
rx(2.4033) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
9e8a866d2c0011b6946d4c64e758f31c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [246, 182], "expectation_value": -1.4179072006327567, "params": [1.0028000000000001, -0.1273, 0.7704000000000001, -0.1525, 0.9994000000000001, -0.12560000000000002, 1.0035, -0.225, 0.35650000000000004, -0.33240000000000003, 0.9994000000000001, 0.2129, 0.9944000000000001, 0.2169, 0.0023, 0.6752, 0.9989, 0.007... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 18 | 8 | 2 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["01001001", "10000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.0028) q[0];
rz(-0.1273) q[0];
rx(0.7704) q[1];
rz(-0.1525) q[1];
rx(0.9994) q[2];
rz(-0.1256) q[2];
rx(1.0035) q[3];
rz(-0.225) q[3];
rx(0.3565) q[4];
rz(-0.3324) q[4];
rx(0.9994) q[5];
rz(0.2129) q[5];
rx(0.9944) q[6];
rz(0.2169) q[6];
rx(0.0023) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
56e34af205e5dd92b84910e936583f99 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [35413, 43605], "expectation_value": -0.1250870867887584, "params": [0.8927, 0.1375, 0.8868, 0.0024000000000000002, 0.7202000000000001, 0.16010000000000002, 0.6930000000000001, 0.006900000000000001, 0.8779, 0.1448, 0.8583000000000001, 0.0057, 0.7667, 0.1507, 0.7136, 0.0076, 0.864, -0.0698, 0.8543000000000001... | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006875000000000002 * (Z(4) @ Z(0)) + 0.000375 * (Z(4) @ Z(2)) + -0.0006875000000000002 * (Z(5) @ Z(1)) + 0.000375 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0005000000000000001 * (Z(6) @ ... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.01762499999995], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0176249999999487, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(0.8927) q[0];
rz(0.1375) q[0];
rx(0.7202) q[1];
rz(0.1601) q[1];
rx(0.8779) q[2];
rz(0.1448) q[2];
rx(0.7667) q[3];
rz(0.1507) q[3];
rx(0.864) q[4];
rz(-0.0698) q[4];
rx(0.7469) q[5];
rz(-0.0706) q[5];
rx(0.8833) q[6];
rz(-0.0581) q[6];
rx(0.6909) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
c502b67eb6d91d909ba398fa39bec60c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [20, 23], "expectation_value": -3.499934076181417, "params": null, "bitstrings": ["01011", "01000"], "total_optimization_steps": 19, "probabilities": [1.3833501308055688e-05, 0.9999481856908635], "optimization_time": 8.996371269226074} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[1];
ry(1.4449) q[4];
ry(1.4449) q[0];
ry(1.4449) q[2];
ry(1.4449) q[3];
cry(0.1187) q[3], q[4];
cry(0.1188) q[4], q[0];
cry(0.1188) q[0], q[2];
cry(0.1186) q[0], q[3];
cry(0.0072) q[0], q[4];
c[0] = measure... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
7c13ad0365481b8f4c94fe0692e944b8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 6}, {"weight": 13, "source": 0, "target": 2}, {"weight": 14, "source": 1, "target": 5}, {... | {"states": [218, 122], "expectation_value": -16.098513601747232, "params": [[-0.042300000000000004, 0.0012000000000000001, -0.0329], [0.0682, 0.030100000000000002, 0.061000000000000006]], "bitstrings": ["00100101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.013865300395697161, 0.017698877570265698... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 10.5 * Z(1) + 9.5 * Z(0) + 7.5 * Z(2) + 17.0 * Z(3) + 11... | 1 | 8 | 3 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.3384) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3384) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3384) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.3384) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
-8681032418437515509 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6], [0, 6], [1, 3], [0, 7], [1, 4], [2, 4], [3, 5]]} | {"states": [71, 103], "expectation_value": -2.764400011752922, "params": [0.49010000000000004, -0.8177000000000001, 0.3811, 0.0092, 1.6858000000000002, 0.1183, 1.4127, 0.0054, 1.0939, 0.4101, 0.5801000000000001, 0.0027, 0.3225, 1.0257, 0.2126, 0.0033, 1.074, 0.7702, 0.8785000000000001, 0.0041, 1.6935, 0.197400000000000... | 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 5 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["10011000", "01100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4901) q[0];
rz(-0.8177) q[0];
rx(1.6858) q[1];
rz(0.1183) q[1];
rx(1.0939) q[2];
rz(0.4101) q[2];
rx(0.3225) q[3];
rz(1.0257) q[3];
rx(1.074) q[4];
rz(0.7702) q[4];
rx(1.6935) q[5];
rz(0.1974) q[5];
rx(1.6723) q[6];
rz(0.2947) q[6];
rx(1.6954) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
e7056fbb187e68baa5d05b0b9cb6a901 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [45, 109], "expectation_value": -2.0413251258699034, "params": [0.34, 0.35800000000000004, 0.4857, 0.2412, 0.5155000000000001, 0.329, 0.24880000000000002, 0.33590000000000003, 0.6032000000000001, -0.0085, 0.6027, 0.00030000000000000003, 0.0008, 0.4465, 0.6012000000000001, -0.010700000000000001, 0.2485, 0.393... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(4) @ Z(2) @ Z(5)) + 0.12... | 18 | 8 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01100010", "10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.34) q[0];
rz(0.358) q[0];
rx(0.4857) q[1];
rz(0.2412) q[1];
rx(0.5155) q[2];
rz(0.329) q[2];
rx(0.2488) q[3];
rz(0.3359) q[3];
rx(0.6032) q[4];
rz(-0.0085) q[4];
rx(0.6027) q[5];
rz(0.0003) q[5];
rx(0.0008) q[6];
rz(0.4465) q[6];
rx(0.6012) q[7];
rz(-0.01... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
b8ec675dd91ebbd5410a74dcc6fca3e0 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capac... | {"states": [0, 1], "expectation_value": -20.7462199378093, "params": [-0.0033, 0.009600000000000001, 0.0023, 0.0063, -0.0027, 0.0099, 0.0023, 0.0013000000000000002, 0.0023, 0.0, 0.0023, 0.009600000000000001, 0.0027, 0.0064, 0.0026000000000000003, 0.0095, 0.0024000000000000002, 0.0033, 1.6119, 0.0011, 0.0039000000000000... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(... | 3 | 10 | 1 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0033) q[0];
rz(0.0096) q[0];
rx(0.0023) q[1];
rz(0.0063) q[1];
rx(-0.0027) q[2];
rz(0.0099) q[2];
rx(0.0023) q[3];
rz(0.0013) q[3];
rx(0.0023) q[4];
rz(0) q[4];
rx(0.0023) q[5];
rz(0.0096) q[5];
rx(0.0027) q[6];
rz(0.0064) q[6];
rx(0.0026) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
dab40a2f654e93a72357d226e03c7017 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [17, 48], "expectation_value": -3.9741052551015095, "params": null, "bitstrings": ["101110", "001111"], "total_optimization_steps": 15, "probabilities": [0.07397911536985187, 0.9005728489954137], "optimization_time": 10.518112897872925} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -1.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["001111", "101110", "101101", "011011", "110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(-1.5681) q[4];
ry(-1.4449) q[3];
ry(1.4417) q[1];
cry(-1.0398) q[0], q[5];
ry(0.7022) q[0];
ry(-0.4578) q[5];
cry(0.4969) q[1], q[0];
cry(-0.3761) q[1], q[5];
cry(-0.1216) q[1], q[3];
cry(0.1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
2c69f66e23c234e31f1d5ec8aa443338 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}]} | {"states": [46, 62], "expectation_value": -4.166182601317923, "params": [0.4187, -0.0258, 0.36110000000000003, 0.3997, 0.41390000000000005, 0.0112, 0.36200000000000004, 0.5549000000000001, -0.3925, 0.3846, -0.3541, 0.06670000000000001, -0.40650000000000003, 0.1904, -0.38720000000000004, 0.4504, -0.40490000000000004, 0.... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -0.5 * Z(5) | 6 | 6 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.4187) q[0];
rz(-0.0258) q[0];
rx(0.4139) q[1];
rz(0.0112) q[1];
rx(-0.3925) q[2];
rz(0.3846) q[2];
rx(-0.4065) q[3];
rz(0.1904) q[3];
rx(-0.4049) q[4];
rz(0.1897) q[4];
rx(-0.0287) q[5];
rz(0.3872) q[5];
crx(0.0091) q[5], q[4];
crx(-0.0423) q[5], q[3];
cr... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 5} | {"circuits": [], "gradients": []} |
2723974204809509610 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 2], [2, 3, 4], [1, 2, 3], [0, 3], [3, 5]]} | {"states": [59, 43], "expectation_value": -1.5009566394177927, "params": null, "bitstrings": ["000100", "010100"], "total_optimization_steps": 35, "probabilities": [0.41399031248314533, 0.42492026146821366], "optimization_time": 29.220748901367188} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.3333333333... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.6666666666666663, "smallest_bitstrings": ["110011", "101001", "100011", "010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.4449) q[2];
cry(-1.0306) q[5], q[3];
ry(0.6991) q[5];
cry(-0.7099) q[0], q[3];
cry(1.1521) q[5], q[0];
cry(0.4394) q[0], q[5];
cry(-0.3202) q[2], q[3];
cry(0.6285) q[5], q[4];
ry(0.2665) q[0];
cry(-0.1388) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
-1178919177038198602 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 4, 7, 9], [8, 9], [1, 9], [0, 1, 2, 3, 5, 10], [0, 4, 5, 6], [0, 10, 5, 7], [10, 4, 7], [3, 4, 5, 7], [0, 9, 5, 7], [0, 2, 4, 9, 10], [2, 6, 7, 8, 10], [0, 2, 4, 6, 7, 8], [0, 1, 2, 6], [0, 1, 3, 4, 5, 8], [8, 0, 5, 6], [0, 2, 3, 5, 6], [9, 2, 3, 5], [... | {"states": [694, 1718], "expectation_value": -4.021185606905469, "params": [0.8442000000000001, 0.8567, 1.5786, 1.5693000000000001, 0.1752, 0.1799, 1.5681, 1.5673000000000001, 0.2356, 0.23450000000000001, 1.5699, 1.5674000000000001, 1.5708, 1.5761, 0.16570000000000001, 0.171, 1.8106, 1.3283, 1.6053000000000002, 1.5416,... | 0.35 * (Z(0) @ Z(3)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z(0)) + 0.3333333333333333 * (Z(8) @ Z(5)) + 0.18333333333333335 * (Z(10) @ Z(3)) + 0.18333333333333335 * (Z(10) @ Z(0)) + 0.1 * (Z(10) @ Z(5)) + 0.13333333333333333 * (Z(10) @ Z(8)) ... | 13 | 11 | 1 | {"smallest_eigenvalues": [-4.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.2, "smallest_bitstrings": ["00101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.8442) q[0];
ry(1.5786) q[1];
ry(0.1752) q[2];
ry(1.5681) q[3];
ry(0.2356) q[4];
ry(1.5699) q[5];
ry(1.5708) q[6];
ry(0.1657) q[7];
ry(1.8106) q[8];
ry(1.6053) q[9];
ry(0.0008) q[10];
crz(-0.9987) q[10], q[0];
crz(0.0193) q[9], q[10];
crz(0.0061) q[8], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5484017736745223261 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[6, 7], [1, 5, 6], [1, 2, 3, 4, 6, 8], [8, 0, 4, 6], [0, 2, 4, 5, 6], [1, 3, 5, 7]]} | {"states": [219, 475], "expectation_value": -0.8043542887898041, "params": [[-0.4864], [0.44720000000000004]], "bitstrings": ["100100100", "000100100"], "total_optimization_steps": 50, "probabilities": [0.00684317032611273, 0.007577314364071164], "optimization_time": 2.545861005783081} | 0.5 * (Z(6) @ Z(7)) + 0.08333333333333333 * (Z(1) @ Z(7)) + 0.19999999999999998 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(5) @ Z(7)) + 0.21666666666666667 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(1)) + 0.08333333333333334 * (Z(2) @ Z(6)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.05 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.7333333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6500000000000006, "smallest_bitstrings": ["000100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[6];
rz(-0.4864) q[6];
cx q[7], q[6];
cx q[7], q[1];
rz(-0.0811) q[1];
cx q[7], q[1];
cx q[6], q[1];
rz(-0.1946) q[1];
cx q[6], q[1];
cx q[7], q[5];
rz(-0.0811) q[5];
cx q[7], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
5752a513167eebaf48a0c31e379d2f42 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [167, 163], "expectation_value": -4.60555189387315, "params": [0.276, -0.004200000000000001, 0.28140000000000004, -0.0043, 0.0038, 0.2088, -0.001, 0.21280000000000002, 0.3942, 0.0012000000000000001, 0.40190000000000003, 0.057600000000000005, 0.0028, 0.22460000000000002, -0.0005, 0.2348, -0.0037, 0.2265, 0.00... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + -1.5 * Z(4) + -0.5 * Z(0) + 0.0 * Z(5) + -1.0 * Z(2) + -1.5 * Z(1) + -1.5 * Z(... | 7 | 8 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["01011100", "11011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.276) q[0];
rz(-0.0042) q[0];
rx(0.0038) q[1];
rz(0.2088) q[1];
rx(0.3942) q[2];
rz(0.0012) q[2];
rx(0.0028) q[3];
rz(0.2246) q[3];
rx(-0.0037) q[4];
rz(0.2265) q[4];
rx(0.2502) q[5];
rz(0.0505) q[5];
rx(0.3971) q[6];
rz(0.0012) q[6];
rx(0.4004) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | null | {"circuits": [], "gradients": []} |
-4670749010918333584 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 4, 5, 6, 7], [0, 2, 4, 5, 6], [0, 1, 2, 4, 7], [2, 3, 4]]} | {"states": [221, 157], "expectation_value": -0.81420981124974, "params": null, "bitstrings": ["00100010", "01100010"], "total_optimization_steps": 54, "probabilities": [0.21363333703720946, 0.298041256512488], "optimization_time": 92.80752849578857} | 0.07380952380952381 * (Z(0) @ Z(1)) + 0.023809523809523808 * (Z(3) @ Z(1)) + 0.023809523809523808 * (Z(3) @ Z(0)) + 0.07380952380952381 * (Z(4) @ Z(1)) + 0.12380952380952381 * (Z(4) @ Z(0)) + 0.19047619047619047 * (Z(4) @ Z(3)) + 0.023809523809523808 * (Z(5) @ Z(1)) + 0.07380952380952381 * (Z(5) @ Z(0)) + 0.02380952380... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -0.9238095238095236, "smallest_bitstrings":... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.3858) q[4];
ry(0.6946) q[0];
cry(0.4423) q[4], q[0];
cry(-0.3739) q[3], q[2];
ry(0.2761) q[3];
cry(-0.279) q[2], q[3];
cry(0.1411) q[0], q[4];
cry(0.2059) q[4], q[3];
cry(-0.206) q[0], q[2];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.3858) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
9ccd9f6529d5a9ac74541f04b00ec686 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [255, 1], "expectation_value": -1.411995525089554, "params": [[-0.0653, -0.07970000000000001], [0.059800000000000006, 0.0697]], "bitstrings": ["100000000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.004328955683873417, 0.0048924605092368935], "optimization_time": 4.268881797790527} | -0.75 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(6)) + -0.75 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[0];
rz(0.0979) q[0];
cx q[5], q[0];
cx q[0], q[6];
rz(0.0653) q[6];
cx q[0], q[6];
cx q[0], q[7];
rz(0.0326) q[7];
cx q[0], q[7];
cx q[6], q[7];
rz(0.0979) q[7];
cx q[6], q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
-1414922549263232579 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 6], [1, 6], [5, 7], [3, 4], [0, 3], [4, 6], [2, 4], [8, 1], [5, 6], [6, 7], [3, 5], [8, 7], [1, 2], [2, 5], [3, 6], [1, 7], [8, 0], [1, 3], [8, 2], [1, 4], [8, 5], [0, 4], [2, 3]]} | {"states": [51, 115], "expectation_value": -0.24762536887054293, "params": [0.7220000000000001, -0.108, 0.7264, 0.0013000000000000002, 0.7458, 0.1632, 0.7362000000000001, 0.0024000000000000002, 0.8304, 0.1506, 0.7823, 0.0044, 0.8636, 0.13470000000000001, 0.8581000000000001, 0.0037, 0.8602000000000001, 0.1366, 0.8433, 0... | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.5, "smallest_bitstrings": ["001110011", "110001100", "111001010", "111001000", "000110111", "000110101", "111001100", "000110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.722) q[0];
rz(-0.108) q[0];
rx(0.7458) q[1];
rz(0.1632) q[1];
rx(0.8304) q[2];
rz(0.1506) q[2];
rx(0.8636) q[3];
rz(0.1347) q[3];
rx(0.8602) q[4];
rz(0.1366) q[4];
rx(0.7323) q[5];
rz(-0.0371) q[5];
rx(0.7887) q[6];
rz(0.1477) q[6];
rx(0.8632) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
c4fd4922d2c165ab37a0955c733d543f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [164, 166], "expectation_value": -1.1816979632093902, "params": [0.40750000000000003, 0.0013000000000000002, 0.3607, 0.0324, 0.39830000000000004, 0.005200000000000001, 0.3689, 0.0251, 0.17880000000000001, -0.10890000000000001, 0.40190000000000003, -0.0193, 0.3987, -0.0039000000000000003, -0.0, 0.3103, 0.3986... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 3 | 8 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.375, "smallest_bitstrings": ["01001011", "01011001", "00011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4075) q[0];
rz(0.0013) q[0];
rx(0.3607) q[1];
rz(0.0324) q[1];
rx(0.3983) q[2];
rz(0.0052) q[2];
rx(0.3689) q[3];
rz(0.0251) q[3];
rx(0.1788) q[4];
rz(-0.1089) q[4];
rx(0.4019) q[5];
rz(-0.0193) q[5];
rx(0.3987) q[6];
rz(-0.0039) q[6];
rx(0) q[7];
rz(0.31... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
8b9699e184b2dee4b86c87a62e9c7e5c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, ... | {"states": [127, 1], "expectation_value": -0.663615555265447, "params": [[0.0637, 0.0393], [-0.058800000000000005, -0.04]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.0062690402613140225, 0.006539540171193609], "optimization_time": 4.271236896514893} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0319) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0637) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0637) q[3];
cx q[0], q[3];
cx q[1], q[6];
rz(-0.0637) q[6];
cx q[1], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
-1410698639661506152 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3, 4], [1, 2, 5, 6], [0, 2, 3, 4, 5, 6], [1, 2, 3, 4, 6], [1, 4, 5]]} | {"states": [122, 107], "expectation_value": -0.5608539521696585, "params": [[0.3532], [-0.34400000000000003]], "bitstrings": ["0000101", "0010100"], "total_optimization_steps": 40, "probabilities": [0.014568543312540556, 0.01456854331254056], "optimization_time": 2.3114094734191895} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(1)) + 0.11666666666666667 * (Z(3) @ Z(0)) + 0.3 * (Z(4) @ Z(1)) + 0.11666666666666667 * (Z(4) @ Z(0)) + 0.16666666666666669 * (Z(4) @ Z(3)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333334 * (Z(2) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.2333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.2333333333333332, "smallest_bitstrings": ["0010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0589) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0942) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0824) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.2119) q[4];
cx q[1], q[4];
cx q[0], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
c4c481d42e823a9c9d606e8266a72503 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"sour... | {"states": [435, 419], "expectation_value": -3.4721532064470013, "params": [0.9106000000000001, 0.0019, 0.9023, 0.0097, 0.9058, 0.0028, 0.9081, 0.0041, 0.2323, 0.5287000000000001, 0.22390000000000002, 0.0002, 0.9062, 0.3321, 0.9025000000000001, 0.0025, 0.7385, -0.0514, 0.7337, 0.0068000000000000005, -0.0016, 0.50340000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.5 * Z(5) + -0.5 * Z(0) + -1.0 * Z(6) + 0.0 * Z(1) + -0.5 * Z(2) + 0.0 * Z(3) + -0.5 * Z(4) + -0.5... | 7 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["001011100", "101001001", "001001101", "101011000", "000101101", "000111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.9106) q[0];
rz(0.0019) q[0];
rx(0.9058) q[1];
rz(0.0028) q[1];
rx(0.2323) q[2];
rz(0.5287) q[2];
rx(0.9062) q[3];
rz(0.3321) q[3];
rx(0.7385) q[4];
rz(-0.0514) q[4];
rx(-0.0016) q[5];
rz(0.5034) q[5];
rx(0.1849) q[6];
rz(-0.3709) q[6];
rx(0.912) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
6206337d7d1967e1d98c4b708b2f9aeb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [9, 44], "expectation_value": -0.6790554137136239, "params": [[-0.0553, -0.0623], [0.060200000000000004, 0.0608]], "bitstrings": ["110110", "010011"], "total_optimization_steps": 10, "probabilities": [0.019162873224442233, 0.021148815963219107], "optimization_time": 4.424277067184448} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(4) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z... | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0553) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.0553) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0553) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(-0.0553) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
a296bf4a8467a546a89302f84310fa30 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 7}, {"weight": 4, "source": 2, "target": 3}, {"weight": 20, "source": 3, "targ... | {"states": [442, 186], "expectation_value": -23.50503991683748, "params": [[-0.023700000000000002, 0.032, 0.0142, 0.010100000000000001], [0.0534, -0.037000000000000005, -0.047, -0.0466]], "bitstrings": ["001000101", "101000101"], "total_optimization_steps": 10, "probabilities": [0.005826676493124364, 0.0077931202615585... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.5, "smallest_bitstrings": ["101000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.2133) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.2133) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.2133) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.2133) q[4];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
bfc5aaca0167d463bd80e3ee9890beee | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 1, "ta... | {"states": [148, 156], "expectation_value": -5.072203847182824, "params": [[0.8844000000000001, 0.0061, 0.1468, 0.8487, 0.37410000000000004, 0.8886000000000001, -0.0103, -0.0068000000000000005], [0.9064000000000001, -0.0009000000000000001, 0.2039, 0.68, -0.3501, 0.433, 0.0049, 0.0233], [0.5972000000000001, 0.0007, 0.09... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * Z(6) + -0.5 * Z(0) + -1.5 * Z(7) + -1.5 * Z(1) + -1.0 * Z(4) + -0.5 * Z... | 10 | 8 | 4 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["01100011", "01010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.8844) q[0];
ry(0.0061) q[1];
ry(0.1468) q[2];
ry(0.8487) q[3];
ry(0.3741) q[4];
ry(0.8886) q[5];
ry(-0.0103) q[6];
ry(-0.0068) q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
cz q[0], q[7];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
8868209641266959459 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[2, 5, 6, 7], [0, 5, 6, 7, 9], [8, 9, 2, 10], [0, 1, 2, 4, 7, 10], [0, 1, 6, 8, 9, 10], [1, 2, 3, 4, 5, 8], [0, 1, 2, 6, 7, 10], [0, 1, 5, 8, 9], [1, 2, 3, 4, 6, 10], [0, 2, 3, 7, 8, 9], [3, 5, 6, 7], [0, 1, 3, 4, 5, 10], [2, 3, 5, 6, 8, 9], [1, 3, 4, 5, 7, 8... | {"states": [251, 1530], "expectation_value": -2.6987545431459345, "params": [[[1.5686, 1.5728], [0.93, 1.5688], [-1.5686, 1.5686], [0.0018000000000000002, 1.5686], [-0.0025, 0.0023], [-0.0028, -0.0029000000000000002], [1.3452000000000002, -0.0425], [0.5426, 0.5529000000000001], [1.5685, 1.5684], [1.5678, -1.5676], [1.5... | 0.1738095238095238 * (Z(3) @ Z(6)) + 0.3333333333333333 * (Z(7) @ Z(6)) + 0.21666666666666665 * (Z(7) @ Z(3)) + 0.2583333333333333 * (Z(8) @ Z(6)) + 0.24047619047619045 * (Z(8) @ Z(3)) + 0.36666666666666664 * (Z(8) @ Z(7)) + 0.15714285714285714 * (Z(0) @ Z(6)) + 0.15714285714285714 * (Z(0) @ Z(3)) + 0.15 * (Z(0) @ Z(7)... | 15 | 11 | 1 | {"smallest_eigenvalues": [-3.667857142857142], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.538095238095238, "smallest_bitstrings": ["01000000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5686) q[0];
ry(0.93) q[1];
ry(-1.5686) q[2];
ry(0.0018) q[3];
ry(-0.0025) q[4];
ry(-0.0028) q[5];
ry(1.3452) q[6];
ry(0.5426) q[7];
ry(1.5685) q[8];
ry(1.5678) q[9];
ry(1.5684) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
595740526298443908 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 3, 4, 7, 10], [0, 9, 4, 6], [8, 2, 6], [0, 9, 2, 4], [8, 4], [0, 1, 3, 7, 10], [8, 9, 10], [1, 5, 6, 7], [2, 10, 6], [1, 3, 4, 6], [9, 7], [0, 10, 6], [1, 2, 3, 5, 6], [0, 2, 7], [8, 10, 5], [10, 4, 6, 7], [8, 1], [9, 10, 3, 5], [2, 4, 7], [0, 10, 5, 7], ... | {"states": [2040, 2032], "expectation_value": -5.043519903476432, "params": [1.5753000000000001, 0.1789, 1.0961, 0.0031000000000000003, 1.4451, 0.0833, 1.4124, 0.0033, 1.5764, 0.1042, 1.5616, 0.0009000000000000001, 1.5815000000000001, 0.12990000000000002, 1.5377, 0.0051, 1.5499, -0.2097, 0.8160000000000001, 0.005200000... | 0.1 * (Z(0) @ Z(4)) + 0.13333333333333333 * (Z(5) @ Z(4)) + 0.21666666666666667 * (Z(5) @ Z(0)) + 0.18333333333333335 * (Z(8) @ Z(4)) + 0.35 * (Z(8) @ Z(0)) + 0.3833333333333333 * (Z(8) @ Z(5)) + 0.26666666666666666 * (Z(2) @ Z(4)) + 0.35 * (Z(2) @ Z(0)) + 0.13333333333333333 * (Z(2) @ Z(5)) + 0.35 * (Z(2) @ Z(8)) + 0.... | 5 | 11 | 1 | {"smallest_eigenvalues": [-5.6000000000000005, -5.6000000000000005], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.516666666666667, "smallest_bitstrings": ["00000001111", "00001001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.5753) q[0];
rz(0.1789) q[0];
rx(1.4451) q[1];
rz(0.0833) q[1];
rx(1.5764) q[2];
rz(0.1042) q[2];
rx(1.5815) q[3];
rz(0.1299) q[3];
rx(1.5499) q[4];
rz(-0.2097) q[4];
rx(1.5829) q[5];
rz(0.1058) q[5];
rx(1.5885) q[6];
rz(0.1553) q[6];
rx(1.1741) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
914daa82fa364871fec375c7bd69ac88 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"sour... | {"states": [210, 82], "expectation_value": -7.743575620047887, "params": [[[-0.0015, 0.5045000000000001], [0.7159, -0.055900000000000005], [0.8542000000000001, -0.0029000000000000002], [0.004, 0.4476], [0.9042, -0.0038], [-0.0131, 0.44730000000000003], [0.0012000000000000001, 0.40040000000000003], [0.908, 0.0011], [0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -8.0, "smallest_bitstrings": ["110101101", "110110011", "101011101", "101101101", "010110111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0015) q[0];
rz(0.5045) q[0];
rx(0.7159) q[1];
rz(-0.0559) q[1];
rx(0.8542) q[2];
rz(-0.0029) q[2];
rx(0.004) q[3];
rz(0.4476) q[3];
rx(0.9042) q[4];
rz(-0.0038) q[4];
rx(-0.0131) q[5];
rz(0.4473) q[5];
rx(0.0012) q[6];
rz(0.4004) q[6];
rx(0.908) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9551046ccc9dd029d28dbd33e8ca0f1e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [66, 98], "expectation_value": -5.047198147330767, "params": [0.3899, -0.0786, 0.3929, -0.0397, 0.22290000000000001, -0.0216, 0.2225, 0.0034000000000000002, -0.0013000000000000002, 0.23090000000000002, -0.0032, 0.22820000000000001, 0.0028, 0.2592, -0.0047, 0.26, 0.0035, 0.2078, -0.005, 0.2361, 0.3956, 0.0692... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + ... | 5 | 7 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.3899) q[0];
rz(-0.0786) q[0];
rx(0.2229) q[1];
rz(-0.0216) q[1];
rx(-0.0013) q[2];
rz(0.2309) q[2];
rx(0.0028) q[3];
rz(0.2592) q[3];
rx(0.0035) q[4];
rz(0.2078) q[4];
rx(0.3956) q[5];
rz(0.0692) q[5];
rx(0.1404) q[6];
rz(-0.2489) q[6];
crz(-0.053) q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
b35b67be6f13e1c7d0fe900b84e9f3d0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [27, 91], "expectation_value": -0.9869364249941711, "params": [0.008, -0.0008, 0.2561, 0.2645, 0.4066, 0.39840000000000003, 0.25470000000000004, 0.2457, 0.4061, 0.4036, 0.40590000000000004, 0.403, 0.30960000000000004, 0.3039, 0.4046, 0.3972, 0.396, 0.3986, -0.00030000000000000003, 0.0032, 0.2581, 0.263300000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(2) @ Z(5) @ Z(6)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(7) @ Z(0)) + 0.0625 * (Z(8) @ Z(0)) ... | 14 | 9 | 2 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5625, "smallest_bitstrings": ["100110100", "110000110", "110100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.008) q[0];
ry(0.2561) q[1];
ry(0.4066) q[2];
ry(0.2547) q[3];
ry(0.4061) q[4];
ry(0.4059) q[5];
ry(0.3096) q[6];
ry(0.4046) q[7];
ry(0.396) q[8];
crx(-0.0073) q[8], q[0];
crx(0.3876) q[7], q[8];
crx(0.3881) q[6], q[7];
crx(-0.0442) q[5], q[6];
crx(0.3864)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
e5b0ce535bcb92efe5cd479863c01b12 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 8}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6}, {"capac... | {"states": [447, 511], "expectation_value": -10.100011553036813, "params": null, "bitstrings": ["1001000000", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.27917529266494084, 0.3491310456177419], "optimization_time": 265.9624433517456} | -0.75 * (Z(0) @ Z(8)) + -1.25 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(8)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(8)) + -0.75 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + -2.25 * (Z(2) @ Z(3)) + -1.25 * (Z(7) @ Z(8)) + -0.5 * (Z(7) @ Z(3)) + -1.75 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(2)) + -1.5 * (Z(4) @ Z(8)) + -1.5 * (Z(4) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.25, -22.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -21.25, "smallest_bitstrings": ["1000000000", "1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(1.5708) q[3];
ry(1.5708) q[2];
cry(1.5708) q[6], q[7];
cry(1.5708) q[7], q[8];
ry(1.0463) q[6];
cry(1.5708) q[6], q[5];
cry(1.5708) q[5], q[1];
cry(1.5708) q[8], q[4];
cry(0.3... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5]... |
2840456929365522092 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4], [0, 3], [3, 4], [0, 5], [3, 5], [0, 6], [2, 3], [0, 4], [1, 6]]} | {"states": [112, 114], "expectation_value": -2.2423712038299337, "params": null, "bitstrings": ["0001111", "0001101"], "total_optimization_steps": 54, "probabilities": [0.214268774856139, 0.5074955377829443], "optimization_time": 49.793280839920044} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.5, "smallest_bitstrings": ["0000111", "1101000", "0010111", "0001111", "1110000", "1110010", "0001101", "1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[5], q[3];
cry(-1.0342) q[0], q[6];
ry(1.0293) q[0];
cry(-0.8214) q[1], q[6];
cry(1.1655) q[0], q[1];
cry(-1.2204) q[2], q[4];
ry(1.0366) q[2];
cry(-0.7205) q[0], q[4];
cry(0.3786) q[2], q[0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
d5141e120f90f429ecf4d4dba0d0fe25 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 14, "source": 0, "target": 2}, {"weight": 20, "source": 1, "ta... | {"states": [486, 244], "expectation_value": -10.11292780859144, "params": [[-0.0485], [0.0707]], "bitstrings": ["000011001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.003908495120240945, 0.004302728852244205], "optimization_time": 1.9268193244934082} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 16.0 * Z(1) + 14.0 * Z(0) + 13.5 *... | 1 | 9 | 1 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.4365) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.4365) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.4365) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.4365) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
7afc16820e80f9ff38487d4737c6b4ad | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [229, 182], "expectation_value": -8.919014479793159, "params": [[-0.042300000000000004], [0.0575]], "bitstrings": ["100011010", "101001001"], "total_optimization_steps": 10, "probabilities": [0.003735704181584042, 0.004049706683730694], "optimization_time": 1.8501064777374268} | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(2) @ Z(4)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(8)) + -3.0 * Z(0) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[0], q[1];
rz(-0.423) q[1];
cx q[0], q[1];
cx q[1], q[4];
rz(-0.423) q[4];
cx q[1], q[4];
cx q[4], q[3];
rz(-0.423) q[3];
cx q[4], q[3];
cx q[4], q[2];
rz(-0.423) q[2];
cx q[4], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
f2fe734c369e4d7183a5c8ea6ef1dc83 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 9}, {"source": 2, "target":... | {"states": [406, 470], "expectation_value": -3.09692944775424, "params": [0.07150000000000001, 0.0695, 0.8118000000000001, 0.8067000000000001, 0.8064, 0.8078000000000001, 0.8024, 0.8, 0.3225, 0.3163, 0.8053, 0.8025, 0.2858, 0.2932, 0.8118000000000001, 0.8117000000000001, 0.8114, 0.8101, -0.015600000000000001, -0.0181, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(3) @ Z(9)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -1.0 * Z(0) + 0.0 * Z(5) + -0.5 * Z(8) + -1.5 * Z(9) + 0.0 * Z(2) + -0.5 * Z(3) + -0.5... | 13 | 10 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["1000100101", "1001001001", "1000101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0715) q[0];
ry(0.8118) q[1];
ry(0.8064) q[2];
ry(0.8024) q[3];
ry(0.3225) q[4];
ry(0.8053) q[5];
ry(0.2858) q[6];
ry(0.8118) q[7];
ry(0.8114) q[8];
ry(-0.0156) q[9];
crz(-0.3934) q[9], q[0];
crz(0.0039) q[8], q[9];
crz(0.0215) q[7], q[8];
crz(-0.333) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
bf3ec5b79f8955f472cb6ac1b88c1910 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [3, 63], "expectation_value": -4.335777917378978, "params": null, "bitstrings": ["1111100", "1000000"], "total_optimization_steps": 65, "probabilities": [0.10092551742810486, 0.4968437275028238], "optimization_time": 72.90518140792847} | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.25 * Z(6) + 0.5 * Z(1) + -0.25 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(1.5486) q[4], q[3];
cry(1.566) q[3], q[1];
cry(1.228) q[3], q[4];
cry(1.5486) q[3], q[2];
cry(1.3851) q[6], q[5];
cry(-1.1871) q[6], q[0];
cry(0.8636) q[5], q[6];
ry(-0.3736) q[2];
cry(0.3921) q[4], q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5486) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... |
4699833057750606476 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 3, 5, 6], [8, 2], [8, 4, 5], [0, 1, 5, 7, 9], [9, 2, 3, 4], [0, 2, 4, 5, 9], [0, 1, 4], [0, 2, 6], [0, 9, 1, 6], [1, 2, 4, 5, 9], [1, 5, 6, 7], [1, 2, 3, 6], [8, 0, 4, 6], [1, 3, 6, 9]]} | {"states": [440, 441], "expectation_value": -3.3768508788181526, "params": [[[0.6599, 0.006200000000000001, 0.0071, 0.0086], [0.0022, 0.8771, 1.5730000000000002, 0.0079], [3.1437, 0.006500000000000001, 0.0066, 0.0051], [1.5215, 0.003, 0.7654000000000001, 0.0037], [3.1448, 0.007200000000000001, 0.0044, 0.0008], [0.00290... | 0.25 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.26666666666666666 * (Z(5) @ Z(1)) + 0.25 * (Z(6) @ Z(3)) + 0.41666666666666663 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.08333333333333333 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.133333... | 12 | 10 | 1 | {"smallest_eigenvalues": [-3.5666666666666664], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3500000000000005, "smallest_bitstrings": ["1001000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.6599) q[0];
rz(0.0062) q[0];
ry(0.0022) q[1];
rz(0.8771) q[1];
ry(3.1437) q[2];
rz(0.0065) q[2];
ry(1.5215) q[3];
rz(0.003) q[3];
ry(3.1448) q[4];
rz(0.0072) q[4];
ry(0.0029) q[5];
rz(-0.8904) q[5];
ry(3.1445) q[6];
rz(0.002) q[6];
ry(1.5729) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
6125947611399702618 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 5], [0, 4], [3, 5], [0, 3], [1, 3]]} | {"states": [14, 49], "expectation_value": -0.029646048052915652, "params": [[-0.0512], [0.0653]], "bitstrings": ["110001", "001110"], "total_optimization_steps": 10, "probabilities": [0.016493871550225796, 0.016564667226760584], "optimization_time": 0.828948974609375} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * Z(2) + 0.16666666666666674 * Z(0) + 0.16666666666666663 * Z(5) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 *... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0171) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.0171) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.0171) q[5];
cx q[0], q[5];
cx q[0], q[4];
rz(-0.0512) q[4];
cx q[0], q[4];
cx q[0], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(x0) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx ... | null | {"circuits": [], "gradients": []} |
f4866d34fc4832d3ba3211e9f23410a9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 19, "source": 1, "target": 3}, {"weight": 8, "source... | {"states": [248, 220], "expectation_value": -13.032355548073765, "params": [[0.0351], [-0.0852]], "bitstrings": ["100000111", "100100011"], "total_optimization_steps": 10, "probabilities": [0.004482794346201305, 0.0050244979169986334], "optimization_time": 1.7566328048706055} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(5)) + 11.0 * Z(1) + 0.5 * Z(0) + 9.5 * Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.351) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.351) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(0.351) q[3];
cx q[2], q[3];
cx q[1], q[4];
rz(0.351) q[4];
cx q[1], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
7e799239f8573f120a2c5e15cda2e88f | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [12, 8], "expectation_value": -0.06974579466128787, "params": [[0.0775], [-0.07060000000000001]], "bitstrings": ["0011", "0111"], "total_optimization_steps": 10, "probabilities": [0.06650817902319489, 0.06666276707587734], "optimization_time": 0.917550802230835} | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -0.75 * Z(1) + -0.75 * Z(2) + -0.25 * Z(0) + -1.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["0111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[1];
rz(0.0387) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0387) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0387) q[0];
cx q[2], q[0];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0387) q[0];
cx q[1], q[0];
cx q[2], q[1];
cx q[3], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0) ... | null | {"circuits": [], "gradients": []} |
5484017736745223261 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[6, 7], [1, 5, 6], [1, 2, 3, 4, 6, 8], [8, 0, 4, 6], [0, 2, 4, 5, 6], [1, 3, 5, 7]]} | {"states": [507, 475], "expectation_value": -1.5349118795516907, "params": [1.4912, 0.0024000000000000002, 1.4854, 0.0097, 1.4487, -0.0023, 1.1248, -0.0019, 1.0914000000000001, -0.37070000000000003, 1.0845, 0.0085, 1.4923000000000002, 0.5253, 1.4957, 0.5364, 1.4887000000000001, -0.0043, 1.4894, 0.0037, 1.4858, 0.020800... | 0.5 * (Z(6) @ Z(7)) + 0.08333333333333333 * (Z(1) @ Z(7)) + 0.19999999999999998 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(5) @ Z(7)) + 0.21666666666666667 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(1)) + 0.08333333333333334 * (Z(2) @ Z(6)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.05 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z... | 8 | 9 | 1 | {"smallest_eigenvalues": [-1.7333333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6500000000000006, "smallest_bitstrings": ["000100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.4912) q[0];
rz(0.0024) q[0];
rx(1.4487) q[1];
rz(-0.0023) q[1];
rx(1.0914) q[2];
rz(-0.3707) q[2];
rx(1.4923) q[3];
rz(0.5253) q[3];
rx(1.4887) q[4];
rz(-0.0043) q[4];
rx(1.4858) q[5];
rz(0.0208) q[5];
rx(0.2772) q[6];
rz(0.0027) q[6];
rx(1.4869) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5b1b8be5e968ea2e2c88472859e2d934 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 10}, {"capacity": 5, "source": 0, "target": 11}, {"capacity": 1, "source"... | {"states": [1, 2047], "expectation_value": -18.754116281740156, "params": [[[-0.0028, 0.0026000000000000003], [-0.0028, 1.5799], [-0.0032, -0.003], [0.0028, -0.0029000000000000002], [-0.0016, 0.0022], [-0.003, -0.0024000000000000002], [-0.0032, -0.0031000000000000003], [-0.0029000000000000002, -0.003], [-0.0035, -0.003... | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(2)) + 0.75 * (Z(3) @ Z(0)) + -1.5 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(3)) + -0.25 * (Z(1) @ Z(7)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(1)) + -1.0 * (Z(9) @ Z(3)) + -0.75 * (Z(9) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(9)) + -1.0 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ ... | 15 | 12 | 1 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.25, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0028) q[0];
ry(-0.0028) q[1];
ry(-0.0032) q[2];
ry(0.0028) q[3];
ry(-0.0016) q[4];
ry(-0.003) q[5];
ry(-0.0032) q[6];
ry(-0.0029) q[7];
ry(-0.0035) q[8];
ry(-0.0029) q[9];
ry(3.143) q[10];
ry(0.0018) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
d2e3f71e5c020057da0dd1812bdf6517 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [57214, 56190], "expectation_value": -13.438419707680879, "params": [0.6981, 0.046200000000000005, 1.0027000000000001, -0.0204, 0.8634000000000001, 0.0092, 0.8804000000000001, -0.0323, 0.43760000000000004, 0.47840000000000005, 0.17220000000000002, 0.4602, 0.8449000000000001, 0.0558, 0.8794000000000001, -0.02... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z... | 5 | 16 | 2 | {"smallest_eigenvalues": [-13.999999999999932], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.999999999999911, "smallest_bitstrings": ["0010010010000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(0.6981) q[0];
rz(0.0462) q[0];
rx(0.8634) q[1];
rz(0.0092) q[1];
rx(0.4376) q[2];
rz(0.4784) q[2];
rx(0.8449) q[3];
rz(0.0558) q[3];
rx(0.8689) q[4];
rz(0.0786) q[4];
rx(1.0002) q[5];
rz(-0.2411) q[5];
rx(0.8353) q[6];
rz(0.1987) q[6];
rx(0.8844) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"number_of_colors": 4} | {"circuits": [], "gradients": []} |
ed46de376d1660326c9e503ea9950a07 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [1, 3], "expectation_value": -23.349967250771613, "params": [[[0.5644, 0.0181], [0.2558, -0.2451], [0.1484, -0.3244], [0.2172, -0.2851], [0.2076, -0.2884], [0.7922, 0.0038], [0.799, 0.0037]], [[0.5631, 0.0098], [0.25570000000000004, 0.0001], [0.1459, 0.0073], [0.2104, 0.005200000000000001], [0.2024, 0.002], ... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 1 | 7 | 2 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.5644) q[0];
rz(0.0181) q[0];
rx(0.2558) q[1];
rz(-0.2451) q[1];
rx(0.1484) q[2];
rz(-0.3244) q[2];
rx(0.2172) q[3];
rz(-0.2851) q[3];
rx(0.2076) q[4];
rz(-0.2884) q[4];
rx(0.7922) q[5];
rz(0.0038) q[5];
rx(0.799) q[6];
rz(0.0037) q[6];
rx(0.5631) q[0];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
98ff52dd3a46eb29e6baf499c47cc739 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [7, 35], "expectation_value": -2.1181416555577193, "params": null, "bitstrings": ["111000", "011100"], "total_optimization_steps": 24, "probabilities": [0.05107453549901371, 0.9399494395431499], "optimization_time": 23.01382040977478} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.125, "smallest_bitstrings": ["010110", "011010", "011001", "101001", "111000", "011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.4449) q[1];
ry(-1.4449) q[2];
ry(1.2953) q[5];
ry(1.0363) q[4];
cry(-0.9078) q[0], q[3];
ry(0.7172) q[0];
cry(-0.5348) q[4], q[3];
cry(0.5333) q[5], q[0];
cry(-0.1259) q[5], q[1];
cry(0.4013) q[5], q[4];
cr... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
ab05d106c82b2c06d5e9031643e50140 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 9}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -14.29388034287422, "params": [[[-0.0252, 0.0021000000000000003], [0.0025, -0.0019], [-0.0008, -0.0025], [-0.0014, -0.0024000000000000002], [-0.0079, 0.0022], [-0.0035, -0.0021000000000000003], [0.0118, 0.0024000000000000002], [-0.008700000000000001, 0.0023], [0.00240000000... | -0.25 * (Z(0) @ Z(10)) + -0.75 * (Z(1) @ Z(4)) + -0.5 * (Z(9) @ Z(10)) + -0.25 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(1)) + -0.75 * (Z(2) @ Z(10)) + 0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(8) @ Z(10)) + -0.75 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(9)) + -1.5 * (Z... | 15 | 11 | 3 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.75, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0252) q[0];
ry(0.0025) q[1];
ry(-0.0008) q[2];
ry(-0.0014) q[3];
ry(-0.0079) q[4];
ry(-0.0035) q[5];
ry(0.0118) q[6];
ry(-0.0087) q[7];
ry(0.0024) q[8];
ry(-1.5609) q[9];
ry(-0.0108) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
-753582520431897867 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [0, 1, 3], [3, 5], [1, 2, 3, 6], [4, 5, 6], [0, 6], [2, 5]]} | {"states": [85, 102], "expectation_value": -3.8163916471489756e-17, "params": [[0.0038, 0.003, 0.0006000000000000001, 0.0027, 0.0048000000000000004, 0.0081, 0.0048000000000000004]], "bitstrings": ["0101010", "0011001"], "total_optimization_steps": 10, "probabilities": [0.007813323963290457, 0.007813323963290457], "opti... | 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.25 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.0... | 9 | 7 | 1 | {"smallest_eigenvalues": [-2.4166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3333333333333335, "smallest_bitstrings": ["0011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.0038) q[0];
rx(0.003) q[1];
rx(0.0006) q[2];
rx(0.0027) q[3];
rx(0.0048) q[4];
rx(0.0081) q[5];
rx(0.0048) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], ... | null | {"circuits": [], "gradients": []} |
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